50144219274240 has 1584 divisors, whose sum is σ = 218124722061792. Its totient is φ = 10557441441792.

The previous prime is 50144219274157. The next prime is 50144219274269. The reversal of 50144219274240 is 4247291244105.

50144219274240 is a `hidden beast` number, since 5 + 0 + 1 + 4 + 4 + 219 + 2 + 7 + 424 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16349597187 + ... + 16349600253.

Almost surely, 2^{50144219274240} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50144219274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109062361030896).

50144219274240 is an abundant number, since it is smaller than the sum of its proper divisors (167980502787552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

50144219274240 is a wasteful number, since it uses less digits than its factorization.

50144219274240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3682 (or 3654 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 50144219274240 in words is "fifty trillion, one hundred forty-four billion, two hundred nineteen million, two hundred seventy-four thousand, two hundred forty".